11th grade trigonometry

Question 1

Convert 2.9 radians to degrees, to 1 decimal place.

Answer 

Question 2

In triangle ABC, A = 65°, C = 69° and a = 7 cm. Find b to 1 decimal place.

Answer 

Question 3

A triangle has sides 14 cm, 15 cm and 8 cm. Find its largest angle to 1 decimal place.

Answer 

Question 4

θ is in the fourth quadrant. Is tan θ positive or negative?

• A. Positive
• B. Negative

Question 5

Convert 135° to radians (in terms of π).

• A. π
• B. 2π/3
• C. 3π/4
• D. π/2

Question 6

A sector has radius 11 cm and angle 2π/3. Find its exact area in terms of π.

Answer 

Question 7

A sector has radius 3 cm and angle 0.9 radians. Find its arc length.

Answer 

Question 8

Lucia and Ana cycle away from the same café along two straight paths with an angle of 143° between them. Lucia rides 20 km and Ana rides 12 km. How far apart are they? Give 1 decimal place.

Answer 

Question 9

A triangle has sides 13 cm and 20 cm with an acute angle θ between them. Its area is 111.4 cm². Find θ to 1 decimal place.

Answer 

Question 10

Two sides of a triangle are 7 cm and 9 cm with an angle of 122° between them. Find the area to 1 decimal place.

Answer 

Question 11

A triangular garden has sides a = 31 m and b = 28 m, and the angle opposite a is 70°. Find the third angle C to 1 decimal place.

Answer 

Question 12

Write 270° in radians, as a multiple of π.

• A. 3π/4
• B. 3π/2
• C. 5π/3
• D. 11π/6

Question 13

In triangle ABC, a = 18 cm, b = 8 cm and angle A = 60°. Find angle B (acute) to 1 decimal place.

Answer 

Question 14

What is the reference angle for 351°?

Answer 

Question 15

A triangle has area 38.9 cm², one side of 11 cm and an included angle of 140°. Find the other side next to that angle, to the nearest cm.

Answer 

Question 16

Is sin 225° positive, zero or negative?

• A. Positive
• B. Zero
• C. Negative